Problem 59

Question

$$ \begin{aligned} &\text { Use these bond enthalpy values to answer Question } { . }\\\ &\begin{array}{lclc} \hline \text { Bond } & \begin{array}{c} \text { Bond Enthalpy } \\ (\mathrm{k}\rfloor / \mathrm{mol}) \end{array} & \text { Bond } & \begin{array}{c} \text { Bond Enthalpy } \\ (\mathrm{k} / / \mathrm{mol}) \end{array} \\ \hline \mathrm{H}-\mathrm{F} & 566 & \mathrm{~F}-\mathrm{F} & 158 \\ \mathrm{H}-\mathrm{Cl} & 431 & \mathrm{Cl}-\mathrm{Cl} & 242 \\ \mathrm{H}-\mathrm{Br} & 366 & \mathrm{Br}-\mathrm{Br} & 193 \\ \mathrm{H}-\mathrm{I} & 299 & \mathrm{I}-\mathrm{I} & 151 \\ \mathrm{H}-\mathrm{H} & 436 & & \\ \hline \end{array} \end{aligned} $$ Which molecule, HF, HCl, HBr, or HI, has the strongest chemical bond?

Step-by-Step Solution

Verified
Answer
HF has the strongest chemical bond with a bond enthalpy of 566 kJ/mol.
1Step 1: Understanding Bond Enthalpy
Bond enthalpy is a measure of bond strength in a chemical bond. The higher the bond enthalpy, the stronger the bond is.
2Step 2: List Given Bond Enthalpy Values
We have the following bond enthalpies:- \( \text{H-F}: 566 \text{ kJ/mol} \)- \( \text{H-Cl}: 431 \text{ kJ/mol} \)- \( \text{H-Br}: 366 \text{ kJ/mol} \)- \( \text{H-I}: 299 \text{ kJ/mol} \)
3Step 3: Compare Bond Enthalpy Values
Compare the bond enthalpies provided. The bond with the highest bond enthalpy value corresponds to the strongest bond among the given options.
4Step 4: Identify the Strongest Bond
Among the given bonds, \( \text{H-F} \) has the highest bond enthalpy at 566 \text{ kJ/mol}. Therefore, \( HF \) has the strongest chemical bond.

Key Concepts

Chemical Bond StrengthMolecular ChemistryBond Energy Calculations
Chemical Bond Strength
Chemical bond strength refers to the amount of energy needed to break a bond between two atoms in a molecule. It is crucial in determining the stability of chemical compounds. The stronger the bond, the more energy is required to break it, hence it is more stable. There are different factors influencing bond strength, such as:
  • Bond type: Single, double, or triple bonds differ in strength, with a general trend where triple bonds tend to be the strongest.
  • Electronegativity: The difference in electronegativity between bonding atoms affects bond strength, typically, the greater the difference, the stronger the bond.
  • Atomic sizes: Smaller atoms generally form stronger bonds due to better overlap of their atomic orbitals.
Chemical bond strength is quantified using bond enthalpy, which is measured in kilojoules per mole (kJ/mol). High bond enthalpy indicates a strong bond. For example, in the problem context, the H-F bond has a bond enthalpy of 566 kJ/mol, making it stronger compared to H-Cl, H-Br, and H-I bonds.
Molecular Chemistry
Molecular chemistry focuses on the composition and structure of molecules and the interactions between them. It examines how atoms combine to form molecules and how these molecules interact with each other. Chemical bonds, including covalent bonds which involve the sharing of electrons, help determine the molecular shape and properties. The study of molecular chemistry involves understanding:
  • Bonding and molecular shapes: The arrangement of atoms within a molecule affects its geometry, influencing physical and chemical properties.
  • Intermolecular forces: Different forces like hydrogen bonding, dipole-dipole interactions, and London dispersion forces control how molecules interact, affecting boiling and melting points.
  • Reactivity: Understanding the types of bonds present can predict how a molecule will react under various conditions.
Overall, chemical bond strength plays a critical role in molecular chemistry as it influences the stability and reactivity of compounds, dictating how they participate in chemical reactions.
Bond Energy Calculations
Bond energy calculations involve using bond enthalpy values to determine the energy required to break chemical bonds. These calculations are essential for understanding reaction energetics and energy changes in chemical processes.Typically, to calculate the enthalpy change (\( \Delta H\)) of a reaction, you follow this approach:
  • Sum the bond enthalpies of bonds broken in the reactants.
  • Sum the bond enthalpies of bonds formed in the products.
  • Determine the overall enthalpy change using the formula: \(\Delta H = ext{Total bond enthalpies of bonds broken} - ext{Total bond enthalpies of bonds formed}\)
Positive values of \( \Delta H\) indicate that the reaction is endothermic, requiring energy input, while negative values suggest an exothermic reaction that releases energy.In the exercise context, by comparing bond enthalpy values, students can identify the strongest bond, highlighting the utility of bond energy calculations in predicting molecular stability and reactivity.